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Finding the Fourth Proportional to 1,013.80, 1,399.51 and 678.59

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Solution

The fourth proportional to 1,013.80, 1,399.51 and 678.59 is: 936.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.80 : 1,399.51 = 678.59 : x
  2. Step 2: Convert to fraction form
    1,013.80/1,399.51 = 678.59/x
  3. Step 3: Cross multiply
    1,013.80x = 1,399.51 × 678.59
  4. Step 4: Simplify right side
    1,013.80x = 949,693.49
  5. Step 5: Solve for x
    x = 949,693.49/1,013.80
  6. Step 6: Final answer
    x = 936.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.